IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1001.1450.html
   My bibliography  Save this paper

Diverse Beliefs

Author

Listed:
  • Angus A Brown
  • L C G Rogers

Abstract

This paper presents a general framework for studying diverse beliefs in dynamic economies. Within this general framework, the characterization of a central-planner general equilbrium turns out to be very easy to derive, and leads to a range of interesting applications. We show how for an economy with log investors holding diverse beliefs, rational overconfidence is to be expected; volume-of-trade effects are effectively modelled; the Keynesian `beauty contest' can be modelled and analysed; and bubbles and crashes arise naturally. We remark that models where agents receive private information can formally be considered as models of diverse beliefs.

Suggested Citation

  • Angus A Brown & L C G Rogers, 2010. "Diverse Beliefs," Papers 1001.1450, arXiv.org.
  • Handle: RePEc:arx:papers:1001.1450
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1001.1450
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Elyès Jouini & Clotilde Napp, 2007. "Consensus Consumer and Intertemporal Asset Pricing with Heterogeneous Beliefs," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(4), pages 1149-1174.
    2. Laurent Calvet & Jean-Michel Grandmont & Isabelle Lemaire, 2001. "Aggregation of Heterogenous Beliefs and Asset Pricing in Complete Financial Markets," Working Papers 2001-01, Center for Research in Economics and Statistics.
    3. Stephen Morris & Hyun Song Shin, 2002. "Social Value of Public Information," American Economic Review, American Economic Association, vol. 92(5), pages 1521-1534, December.
    4. Min Fan, 2006. "Heterogeneous Beliefs, the Term Structure and Time-varying Risk Premia," Annals of Finance, Springer, vol. 2(3), pages 259-285, July.
    5. Guidolin, Massimo & Timmermann, Allan, 2003. "Option prices under Bayesian learning: implied volatility dynamics and predictive densities," Journal of Economic Dynamics and Control, Elsevier, vol. 27(5), pages 717-769, March.
    6. Basak, Suleyman, 2000. "A model of dynamic equilibrium asset pricing with heterogeneous beliefs and extraneous risk," Journal of Economic Dynamics and Control, Elsevier, vol. 24(1), pages 63-95, January.
    7. Harris, Milton & Raviv, Artur, 1993. "Differences of Opinion Make a Horse Race," The Review of Financial Studies, Society for Financial Studies, vol. 6(3), pages 473-506.
    8. Calvet, Laurent-Emmanuel & Grandmont, Jean-Michel & Lemaire, Isabelle, 2018. "Aggregation of heterogenous beliefs, asset pricing, and risk sharing in complete financial markets," Research in Economics, Elsevier, vol. 72(1), pages 117-146.
    9. Bernardo, Antonio E. & Judd, Kenneth L., 2000. "Asset market equilibrium with general tastes, returns, and informational asymmetries," Journal of Financial Markets, Elsevier, vol. 3(1), pages 17-43, February.
    10. Mordecai Kurz & Hehui Jin & Maurizio Motolese, 2005. "Determinants of stock market volatility and risk premia," Annals of Finance, Springer, vol. 1(2), pages 109-147, July.
    11. Detemple Jerome & Murthy Shashidhar, 1994. "Intertemporal Asset Pricing with Heterogeneous Beliefs," Journal of Economic Theory, Elsevier, vol. 62(2), pages 294-320, April.
    12. Grossman, Sanford J & Stiglitz, Joseph E, 1980. "On the Impossibility of Informationally Efficient Markets," American Economic Review, American Economic Association, vol. 70(3), pages 393-408, June.
    13. Brennan, Michael J. & Xia, Yihong, 2001. "Stock price volatility and equity premium," Journal of Monetary Economics, Elsevier, vol. 47(2), pages 249-283, April.
    14. Basak, Suleyman, 2005. "Asset pricing with heterogeneous beliefs," Journal of Banking & Finance, Elsevier, vol. 29(11), pages 2849-2881, November.
    15. Varian, Hal R, 1985. "Divergence of Opinion in Complete Markets: A Note," Journal of Finance, American Finance Association, vol. 40(1), pages 309-317, March.
    16. George-Marios Angeletos & Alessandro Pavan, 2007. "Efficient Use of Information and Social Value of Information," Econometrica, Econometric Society, vol. 75(4), pages 1103-1142, July.
    17. Jose A. Scheinkman & Wei Xiong, 2003. "Overconfidence and Speculative Bubbles," Journal of Political Economy, University of Chicago Press, vol. 111(6), pages 1183-1219, December.
    18. De Long, J Bradford & Andrei Shleifer & Lawrence H. Summers & Robert J. Waldmann, 1990. "Noise Trader Risk in Financial Markets," Journal of Political Economy, University of Chicago Press, vol. 98(4), pages 703-738, August.
    19. Ho-Mou Wu & Wen-Chung Guo, 2003. "Speculative trading with rational beliefs and endogenous uncertainty," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(2), pages 263-292, March.
    20. A. A. Brown, 2009. "A note on heterogeneous beliefs with CRRA utilities," Papers 0907.4964, arXiv.org.
    21. Lucas, Robert Jr., 1972. "Expectations and the neutrality of money," Journal of Economic Theory, Elsevier, vol. 4(2), pages 103-124, April.
    22. L.C.G. Rogers, 2001. "The relaxed investor and parameter uncertainty," Finance and Stochastics, Springer, vol. 5(2), pages 131-154.
    23. Cabrales, Antonio & Hoshi, Takeo, 1996. "Heterogeneous beliefs, wealth accumulation, and asset price dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 20(6-7), pages 1073-1100.
    24. Leland, Hayne E, 1980. "Who Should Buy Portfolio Insurance?," Journal of Finance, American Finance Association, vol. 35(2), pages 581-594, May.
    25. J. Michael Harrison & David M. Kreps, 1978. "Speculative Investor Behavior in a Stock Market with Heterogeneous Expectations," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 92(2), pages 323-336.
    26. Basak, Suleyman & Croitoru, Benjamin, 2000. "Equilibrium Mispricing in a Capital Market with Portfolio Constraints," The Review of Financial Studies, Society for Financial Studies, vol. 13(3), pages 715-748.
    27. Townsend, Robert M, 1978. "Market Anticipations, Rational Expectations, and Bayesian Analysis," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 19(2), pages 481-494, June.
    28. Allan Timmerman & Massimo Guidolin, 2001. "Option prices and implied volatility dynamics under Bayesian learning," CeNDEF Workshop Papers, January 2001 P3, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    29. Michael Gallmeyer & Burton Hollifield, 2008. "An Examination of Heterogeneous Beliefs with a Short-Sale Constraint in a Dynamic Economy," Review of Finance, European Finance Association, vol. 12(2), pages 323-364.
    30. Franklin Allen & Stephen Morris & Hyun Song Shin, 2006. "Beauty Contests and Iterated Expectations in Asset Markets," The Review of Financial Studies, Society for Financial Studies, vol. 19(3), pages 719-752.
    31. Stephen Morris & Hyun Song Shin, 2005. "Central Bank Transparency and the Signal Value of Prices," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 36(2), pages 1-66.
    32. Christian Hellwig, 2002. "Public Announcements, Adjustment Delays, and the Business Cycle (November 2002)," UCLA Economics Online Papers 208, UCLA Department of Economics.
    33. Wang, Jiang, 1994. "A Model of Competitive Stock Trading Volume," Journal of Political Economy, University of Chicago Press, vol. 102(1), pages 127-168, February.
    34. Andrea Buraschi & Alexei Jiltsov, 2006. "Model Uncertainty and Option Markets with Heterogeneous Beliefs," Journal of Finance, American Finance Association, vol. 61(6), pages 2841-2897, December.
    35. A. A. Brown & L. C. G. Rogers, 2009. "Heterogeneous Beliefs with Finite-Lived Agents," Papers 0907.4953, arXiv.org.
    36. Ho-Mou Wu & Wen-Chung Guo, 2004. "Asset price volatility and trading volume with rational beliefs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(4), pages 795-829, May.
    37. repec:dau:papers:123456789/78 is not listed on IDEAS
    38. Kandel, Eugene & Pearson, Neil D, 1995. "Differential Interpretation of Public Signals and Trade in Speculative Markets," Journal of Political Economy, University of Chicago Press, vol. 103(4), pages 831-872, August.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Timothy C. Johnson, 2012. "Ethics and Finance: the role of mathematics," Papers 1210.5390, arXiv.org.
    2. A. A. Brown, 2009. "Heterogeneous Beliefs with Partial Observations," Papers 0907.4950, arXiv.org.
    3. A. A. Brown & L. C. G. Rogers, 2009. "Heterogeneous Beliefs with Finite-Lived Agents," Papers 0907.4953, arXiv.org.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Mordecai Kurz, 2007. "Rational Diverse Beliefs and Economic Volatility," Discussion Papers 06-045, Stanford Institute for Economic Policy Research.
    2. Kurz, Mordecai, 2008. "Beauty contests under private information and diverse beliefs: How different?," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 762-784, July.
    3. A. A. Brown & L. C. G. Rogers, 2009. "Heterogeneous Beliefs with Finite-Lived Agents," Papers 0907.4953, arXiv.org.
    4. A. A. Brown, 2009. "Heterogeneous Beliefs with Partial Observations," Papers 0907.4950, arXiv.org.
    5. Wei Xiong, 2013. "Bubbles, Crises, and Heterogeneous Beliefs," NBER Working Papers 18905, National Bureau of Economic Research, Inc.
    6. Uppal, Raman & Dumas, Bernard & Kurshev, Alexander, 2005. "What Can Rational Investors Do About Excessive Volatility and Sentiment Fluctuations?," CEPR Discussion Papers 5367, C.E.P.R. Discussion Papers.
    7. Basak, Suleyman, 2004. "Asset Prices with Heterogenous Beliefs," CEPR Discussion Papers 4256, C.E.P.R. Discussion Papers.
    8. Adem Atmaz & Suleyman Basak, 2018. "Belief Dispersion in the Stock Market," Journal of Finance, American Finance Association, vol. 73(3), pages 1225-1279, June.
    9. Mordecai Kurz & Maurizio Motolese, 2011. "Diverse beliefs and time variability of risk premia," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 47(2), pages 293-335, June.
    10. Basak, Suleyman, 2005. "Asset pricing with heterogeneous beliefs," Journal of Banking & Finance, Elsevier, vol. 29(11), pages 2849-2881, November.
    11. Bernard Dumas & Alexander Kurshev & Raman Uppal, 2009. "Equilibrium Portfolio Strategies in the Presence of Sentiment Risk and Excess Volatility," Journal of Finance, American Finance Association, vol. 64(2), pages 579-629, April.
    12. Wei Xiong & Hongjun Yan, 2010. "Heterogeneous Expectations and Bond Markets," The Review of Financial Studies, Society for Financial Studies, vol. 23(4), pages 1433-1466, April.
    13. Lubos Pastor & Pietro Veronesi, 2009. "Learning in Financial Markets," Annual Review of Financial Economics, Annual Reviews, vol. 1(1), pages 361-381, November.
    14. Ki Beom Binh & Hogyu Jhang, 2015. "Extraneous Risk: Pricing of Non-Systematic Risk," Annals of Economics and Finance, Society for AEF, vol. 16(2), pages 335-352, November.
    15. Markus K. Brunnermeier & Alp Simsek & Wei Xiong, 2014. "A Welfare Criterion For Models With Distorted Beliefs," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 129(4), pages 1753-1797.
    16. Motolese, Maurizio & Nakata, Hiroyuki, 2024. "Are macroeconomic indices fool's gold?," Journal of Economic Behavior & Organization, Elsevier, vol. 217(C), pages 240-260.
    17. Gao, George P. & Lu, Xiaomeng & Song, Zhaogang & Yan, Hongjun, 2019. "Disagreement beta," Journal of Monetary Economics, Elsevier, vol. 107(C), pages 96-113.
    18. Dindo, Pietro, 2019. "Survival in speculative markets," Journal of Economic Theory, Elsevier, vol. 181(C), pages 1-43.
    19. Hu, Yingyi & Zhao, Tiao & Zhang, Lin, 2020. "Noise trading, institutional trading, and opinion divergence: Evidence on intraday data in the Chinese stock market," International Review of Economics & Finance, Elsevier, vol. 68(C), pages 74-89.
    20. Angeletos, G.-M. & Lian, C., 2016. "Incomplete Information in Macroeconomics," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 1065-1240, Elsevier.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:arx:papers:1001.1450. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.